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Saturation methods for the bilinear controllability of linear and nonlinear PDEs

We present recent advances in the study of bilinear approximate controllability for both linear and nonlinear partial differential equations (PDEs), with a particular focus on saturation techniques. A...

Workshop on Structure-Preserving Approximations of Dynamical systems in Engineering and Science (SPADES)

Programma 9:30 Alessia Del Grosso & Giuliano Carlino (Inria&Onera): Collocation-based model order reduction: analysis and applications10:30 Syver Døving Agdestein (CWI): Discrete closure model...

Time Quasi-Periodic Three-dimensional Travelling Gravity Water Waves

Starting with the pioneering computations of Stokes in 1847, the search of traveling waves in fluid mechanics has always been a fundamental topic, since they can be seen as building blocks to det...

Workshop on Structure-Preserving Approximations of Dynamical systems in Engineering and Science (SPADES)

Programma14:30 Benjamin Sanderse (CWI): Lessons learnt in learning fluid models from data; from ROMs to closure models15:20 Davide Torlo (Sapienza): How to preserve moving equilibria: Global Flux Quad...

Quantitative stability for the critical p-Laplace equation and beyond

Since the seminal work of Gidas, Ni & Nirenberg [Math. Anal. Appl. Part A, 1981], considerable effort has been devoted to the classification of positive solutions to the critical $p$-Laplace equat...

Monochromatic solutions of Diophantine equations

I will talk about the following problem: which systems of Diophantine equations have the property that, in every finite colouring of the natural numbers, there is always a monochromatic solution of th...

Loop torsors in Algebraic and Arithmetic Geometry

Given a topological space X and a Lie group G, topologists investigated the class of principal G-bundles arising from homomorphisms from the fundamental group of X to G. The analogous construction wor...

Exponential decay of correlations in hyperbolic supersymmetric nonlinear sigma models at high temperature

Supersymmetric nonlinear sigma models arise in the theory of disordered systems and are expected to share key features with O(N)-type models. They also reveal surprising connections with probabilistic...

Serrin-type problems on ring-shaped domains: rigidity results

We provide a characterization of rotationally symmetric solutions to the Serrin problem on ring-shaped domains in $R^n$ ($n ≥ 3$). Our approach is based on a comparison-geometry argument. By exploitin...

The Grunwald problem for solvable groups

Let K be a number field. The Grunwald problem for a finite group (scheme) G/K asks what is the closure of the image of H^1(K,G) → ∏_{v ∈ M_K} H^1(K_v,G). For a general G, there is a Brauer—Manin obstr...

Deformations of Symplectic Foliations

In this talk, based on joint work with Stephane Geudens and Marco Zambon, we develop the deformation theory of symplectic foliations, i.e. regular foliations equipped with a leafwise symplectic form. ...